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Nana76 [90]
3 years ago
6

Can someone please help me ;-;

Mathematics
1 answer:
Naily [24]3 years ago
3 0
\Delta\ \textgreater \ 0\\\\

\Delta=m^2-4\cdot2\cdot8=m^2-64\\
m^2-64\ \textgreater \ 0\\
m^2\ \textgreater \ 64\\
m\ \textgreater \ 8 \vee m\ \textless \ -8\\
m\in(-\infty,-8)\cup(8,\infty)

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What is the row echelon form of this matrix?
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The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

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Write the word sentence as an inequality -5/9 is no less than 5 times a number k. An inequality is
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-5/9 ≥ 5k

Step-by-step explanation:

no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is

-5/9 ≥ 5k

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